Answer
2x-3y = 3
Work Step by Step
The line contains(0,-1) and (3,1)
To find the equation of the line.
To use the point slope form, we need to find the slope of the line using (0,-1) and (3,1)
m = $\frac{y2-y1}{x2-x1}$ = $\frac{1+1}{3-0}$ =$\frac{2}{3}$
then, y-y1 = m(x-x1)
y-(-1) =$\frac{2}{3}$ (x-0)
y+1 = $\frac{2}{3}$ x
3(y+1) = 2x
3y + 3=2x
2x-3y = 3